I had a reservation. They saw the reservation. The problem: Hertz had not actually saved me a car.

So here I was, just off a plane in Kalamazoo, suitcase in tow and no car. I wasn’t the only one stranded and — I later learned from my cab driver — it happens somewhat regularly.

After the initial shock, all that kept flashing through my head was a 1991 “Seinfeld” episode in which a rental company doesn’t have Jerry’s reserved car.

‘‘But the reservation keeps the car here. That’s why you have the reservation,’’ Seinfeld says. ‘‘You know how to take the reservation, you just don’t know how to hold the reservation. And that’s really the most important part of the reservation: the holding.’’

Reserving a car is different from almost any other travel transaction.

Airfare is typically nonrefundable once you purchase a ticket. Hotel rooms can be canceled up to a certain point — usually 4 p.m. the night of arrival. But there’s typically no penalty for reserving a car and never picking it up.

That leaves the industry with many more reservations than actual renters.

So just as airlines sell more tickets on planes than there are seats, car rental companies sometimes don’t have enough cars to meet demand.

‘‘During the course of a year, this phenomenon is a rare occasion and occurs less than 1 percent of the time,’’ said Paula Rivera, a spokeswoman for Hertz Global Holdings Inc., parent company of Hertz, Dollar, and Thrifty.

If a reserved car class is not available, it is Hertz’s policy to provide a complimentary upgrade to the next available car class.

In situations like mine where there are no cars left at the airport, Hertz will let customers rent from a competitor and pay the difference, or pay for a cab to and from your hotel, asking you to return the next morning when more cars might be available.

The company will also provide a $50 voucher for a future rental.

Alice Pereira, a spokeswoman for Avis Budget Group, outlined a nearly identical policy at her company. A representative for Enterprise Holdings, the parent of Alamo Rent A Car, Enterprise Rent-A-Car, and National Car Rental, did not respond to numerous requests for comment.

For me, a solution wasn’t so simple. Everybody else in Kalamazoo was out of cars, and Hertz said it would be days until they got more vehicles.

I had an early meeting the next day and needed a car. Luckily, the airport in Grand Rapids, Mich. — 58 miles away — did have cars available. An hour and $150 cab ride later, I was finally in a car.

When I returned the car three days later, Hertz took the $150 off my bill and gave me one of those $50 vouchers.

So what can you do to prevent a similar fate? Not much.

Rivera told me that for travelers whose plans are concrete, they can prepay for their rental, ‘‘which helps to ensure availability upon arrival.’’

The company also lets customers in some locations reserve specific models, which helps make sure you get the right size vehicle. Rates for those cars, however, are typically higher than for a generic ‘‘intermediate’’ or ‘‘compact.’’

It also pays to sign up for the rental company’s loyalty program, which is free.

Rivera said members of Hertz’s Gold Plus Rewards program, ‘‘by virtue of their loyalty, are served first.’’ In my case, my membership didn’t help — but I got the sense that nothing would have.